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1327671660 = 223572467967
BaseRepresentation
bin100111100100010…
…1010100101101100
310102112020201010110
41033020222211230
510204340443120
6335424340020
744621010600
oct11710524554
93375221113
101327671660
11621488407
12310774610
131820a6243
14c8485500
157b8592e0
hex4f22a96c

1327671660 has 144 divisors (see below), whose sum is σ = 4338157824. Its totient is φ = 302504832.

The previous prime is 1327671643. The next prime is 1327671727. The reversal of 1327671660 is 661767231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372497 + ... + 1373463.

It is an arithmetic number, because the mean of its divisors is an integer number (30126096).

Almost surely, 21327671660 is an apocalyptic number.

1327671660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327671660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169078912).

1327671660 is an abundant number, since it is smaller than the sum of its proper divisors (3010486164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1327671660 is a wasteful number, since it uses less digits than its factorization.

1327671660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 1327671660 is about 36437.2290384436. The cubic root of 1327671660 is about 1099.0823365902.

The spelling of 1327671660 in words is "one billion, three hundred twenty-seven million, six hundred seventy-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 467 490 588 735 934 967 980 1401 1470 1868 1934 2335 2802 2901 2940 3269 3868 4670 4835 5604 5802 6538 6769 7005 9340 9670 9807 11604 13076 13538 14010 14505 16345 19340 19614 20307 22883 27076 28020 29010 32690 33845 39228 40614 45766 47383 49035 58020 65380 67690 68649 81228 91532 94766 98070 101535 114415 135380 137298 142149 189532 196140 203070 228830 236915 274596 284298 343245 406140 451589 457660 473830 568596 686490 710745 903178 947660 1354767 1372980 1421490 1806356 2257945 2709534 2842980 3161123 4515890 5419068 6322246 6773835 9031780 9483369 12644492 13547670 15805615 18966738 22127861 27095340 31611230 37933476 44255722 47416845 63222460 66383583 88511444 94833690 110639305 132767166 189667380 221278610 265534332 331917915 442557220 663835830 1327671660